Search a number
-
+
30865104 = 2433371931
BaseRepresentation
bin111010110111…
…1011011010000
32011002002222000
41311233123100
530400140404
63021314000
7523230504
oct165573320
964062860
1030865104
1116471456
12a405900
13651899a
144156304
152a9a339
hex1d6f6d0

30865104 has 80 divisors (see below), whose sum is σ = 91035840. Its totient is φ = 10005120.

The previous prime is 30865073. The next prime is 30865123. The reversal of 30865104 is 40156803.

30865104 is a `hidden beast` number, since 3 + 0 + 8 + 651 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15019 + ... + 16949.

It is an arithmetic number, because the mean of its divisors is an integer number (1137948).

Almost surely, 230865104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30865104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45517920).

30865104 is an abundant number, since it is smaller than the sum of its proper divisors (60170736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30865104 is a wasteful number, since it uses less digits than its factorization.

30865104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30865104 is about 5555.6371371788. The cubic root of 30865104 is about 313.6817471360.

The spelling of 30865104 in words is "thirty million, eight hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1931 1998 2664 3862 3996 5328 5793 7724 7992 11586 15448 15984 17379 23172 30896 34758 46344 52137 69516 71447 92688 104274 139032 142894 208548 214341 278064 285788 417096 428682 571576 643023 834192 857364 1143152 1286046 1714728 1929069 2572092 3429456 3858138 5144184 7716276 10288368 15432552 30865104